位移约束桁架尺寸优化设计的改进齿形法  

IMPROVED ZIGZAG METHOD APPLIED TO SIZING OPTIMIZATION DESIGN OF TRUSS SUBJECTED TO DISPLACEMENT AND STRESS CONSTRAINTS

作　　者：刘树堂[1] 

机构地区：[1]广州大学土木工程学院,广州510006

出　　处：《工程力学》2010年第A02期272-275,共4页Engineering Mechanics

基　　金：广州市属高校科技计划项目(62049)

摘　　要：该文提出一种改进齿形法应用于具有应力与位移约束的桁架尺寸优化问题。对于应力约束所需的杆件截面积由杆件各工况荷载下的最大内力来确定。对于位移约束所需的杆件截面积,按当前迭代位移比最大的位移约束、采用桁架满位移设计准则确定。分别计算应力约束和位移约束的杆件截面积比,取二者较大者并施加松弛系数作为准则步时杆件截面积更新的参数。对三杆及十杆平面桁架的算例进行了优化设计研究,结果表明该文提出的方法稳定性好、收敛速度快、优化效果好、应用简单。An improved zigzag method is proposed for an optimum sizing design of trusses subjected to stress and displacement constraints.The member sectional area required for stress constraints are determined by the maximum internal force of members.The member sectional area required for displacement constraints is determined by fully utilized design criteria,the member sectional area ratio for displacement and stress constraints is calculated respectively,and the greater one of them for which loosing factor is crowned,is used to upgrade a design solution.The optimizing for a 3-bar＇s and a 10-bar＇s plane truss by the proposed method shows that the proposed method have properties of good stability,quicker convergence,better optimization solution and easy use.

关 键 词：桁架尺寸优化设计 齿形法 应力约束与位移约束 杆件截面积比 响应比 

分 类 号：V414.19[航空宇航科学与技术—航空宇航推进理论与工程]